Correlation between diffusion and coherence in Brownian motion on a tilted periodic potential

E. Heinsalu, R. Tammelo and T. Örd

Physica A: Statistical Mechanics and its Applications, 2004, vol. 340, issue 1, 292-297

Abstract: The paper studies the overdamped motion of Brownian particles in a tilted sawtooth potential. The dependencies of the diffusion coefficient and coherence level of Brownian transport on temperature, tilting force, and the shape of the potential are analyzed. It is demonstrated that at low temperatures the coherence level of Brownian transport stabilizes in the extensive domain of the tilting force where the value of the Péclet factor is Pe=2. This domain coincides with the one where the enhancement of the diffusion coefficient vs. the tilting force is the most rapid. The necessary and sufficient conditions for the non-monotonic behaviour of the diffusion coefficient as a function of temperature are found. The effect of the acceleration of diffusion by bias and temperature is demonstrated to be very sensitive to the value of the asymmetry parameter of the potential.

Keywords: Diffusion; Coherence of Brownian transport; Tilted sawtooth potential (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:340:y:2004:i:1:p:292-297

DOI: 10.1016/j.physa.2004.04.019

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